Research Article

A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces

Volume: 8 Number: 1 April 15, 2020
EN

A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces

Abstract

In this paper, we define the concept of metrical convexity in the context of multiplicative metric spaces. Using this, we then prove a fixed point theorem for non-self mappings in multiplicative metric spaces. Furthermore, we give an illustrative case on the utilization of the hypothesis.


Keywords

References

  1. [1] M. Abbas, B. Ali, Y. Suleiman, Common fixed points of locally contractive mappings in multiplicative metric spaces with application, International Journal of Mathematics and Mathematical Sciences, Vol. 2015, Article ID 218683, 7 pages.
  2. [2] A. E. Bashirov, E. M. Kurplnara, A. Ozyapici, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337 (2008), 36-48.
  3. [3] M. Grossman, R. Katz. Non-Newtonian Calculus, Pigeon Cove, Lee Press, Massachusats, 1972.
  4. [4] H. Hxiaoju , M. Song, D. Chen, Common fixed points for weak commutative mappings on a multiplicative metric space. Fixed Point Theory and Applications 2014, 2014:48.
  5. [5] M. ÖzavŞar, A. C. Çevikel, Fixed points of multiplicative contraction mappings on multiplicative metric spaces, arXiv, 2012 (2012), 14 pages.
  6. [6] N. Assad, W. Kirk, Fixed point theorems for set-valued mappings of contractive type, Pacific J. Math., Vol. 43, 1972, pp. 553-562.
  7. [7] Q. H. Khan, M. Imdad, Coincidence and common fixed point theorems in a multiplicative metric spaces, Adv. Fixed Point Theory, 6 (2016), No. 1, 1-9.
  8. [8] T. Rugumisa, S. Kumar, Unique common fixed points for pairs of multivalued mappings in partial metric spaces, Adv. Fixed Point Theory, 7 (2017), No. 3, 391-412.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Terentius Rugumisa * This is me
Tanzania

Publication Date

April 15, 2020

Submission Date

April 24, 2018

Acceptance Date

February 24, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

APA
Rugumisa, T., & Kumar, S. (2020). A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp Journal of Mathematics, 8(1), 1-6. https://izlik.org/JA44CZ75AX
AMA
1.Rugumisa T, Kumar S. A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp J. Math. 2020;8(1):1-6. https://izlik.org/JA44CZ75AX
Chicago
Rugumisa, Terentius, and Santosh Kumar. 2020. “A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces”. Konuralp Journal of Mathematics 8 (1): 1-6. https://izlik.org/JA44CZ75AX.
EndNote
Rugumisa T, Kumar S (April 1, 2020) A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp Journal of Mathematics 8 1 1–6.
IEEE
[1]T. Rugumisa and S. Kumar, “A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces”, Konuralp J. Math., vol. 8, no. 1, pp. 1–6, Apr. 2020, [Online]. Available: https://izlik.org/JA44CZ75AX
ISNAD
Rugumisa, Terentius - Kumar, Santosh. “A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces”. Konuralp Journal of Mathematics 8/1 (April 1, 2020): 1-6. https://izlik.org/JA44CZ75AX.
JAMA
1.Rugumisa T, Kumar S. A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp J. Math. 2020;8:1–6.
MLA
Rugumisa, Terentius, and Santosh Kumar. “A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces”. Konuralp Journal of Mathematics, vol. 8, no. 1, Apr. 2020, pp. 1-6, https://izlik.org/JA44CZ75AX.
Vancouver
1.Terentius Rugumisa, Santosh Kumar. A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp J. Math. [Internet]. 2020 Apr. 1;8(1):1-6. Available from: https://izlik.org/JA44CZ75AX
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